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Finding the Fourth Proportional to 933.39, 1,288.31 and 889.38

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Solution

The fourth proportional to 933.39, 1,288.31 and 889.38 is: 1,227.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.39 : 1,288.31 = 889.38 : x
  2. Step 2: Convert to fraction form
    933.39/1,288.31 = 889.38/x
  3. Step 3: Cross multiply
    933.39x = 1,288.31 × 889.38
  4. Step 4: Simplify right side
    933.39x = 1,145,792.70
  5. Step 5: Solve for x
    x = 1,145,792.70/933.39
  6. Step 6: Final answer
    x = 1,227.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.